75307377564 has 96 divisors (see below), whose sum is σ = 203497082880. Its totient is φ = 24056740800.

The previous prime is 75307377559. The next prime is 75307377571. The reversal of 75307377564 is 46577370357.

75307377564 is a `hidden beast` number, since 7 + 5 + 3 + 0 + 7 + 3 + 77 + 564 = 666.

It is a super-2 number, since 2×75307377564² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75307377564.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235654 + ... + 454034.

It is an arithmetic number, because the mean of its divisors is an integer number (2119761280).

Almost surely, 2^75307377564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75307377564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101748541440).

75307377564 is an abundant number, since it is smaller than the sum of its proper divisors (128189705316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75307377564 is a wasteful number, since it uses less digits than its factorization.

75307377564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218528 (or 218520 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 54.

The spelling of 75307377564 in words is "seventy-five billion, three hundred seven million, three hundred seventy-seven thousand, five hundred sixty-four".